The profit from a company's factory in North Dakota is given by n^2 − 12n + 22. The company's profit from their factory in Florida is given by n^2 − 21n + 15. In both, n equals the number of goods produced in the factory. Enter a polynomial that represents the total profits of the two plants.
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To diagonalize an nxn matrix a means to find an invertible matrix p and a diagonal matrix d such that a pdp d p ap or [1 3 dh epap 3 let a=-3 -5 -3 3 3 1 step 1: find the eigenvalues of matrix a "2's" step 2: find the corresponding eigenvectors of a step 3: createp from eigenvectors in step 2 step 4 create d with matching eigenvalues.